$\frac{d}{dx}\left(\frac{\left(x^2\sqrt{3x+2}\right)}{\left(x+1\right)^2}\right)$

$\frac{dy}{dx}=\left(y^2-y-20\right)$

$\frac{u^9}{2u^2}$

$2\cdot2\cdot x\cdot x\cdot x\cdot z\cdot z\cdot z\cdot z\cdot2\cdot2\cdot x\cdot x\cdot z\cdot z\cdot z$

$\left(-6\right)\:+\:\left(-12\right)\:-\left(-15\right)\:-\left(3\right)$

$\frac{d}{dx}x\ln y+y\ln x=xy$

$3\frac{x^3-y^2}{-2x}$